Question

In the circle, what is the measure of ZACB? 60° 20° 80 40°

Answer 1

The given problem is an example of an "inscribed angle"

The inscribed angle ∠ACB is half of the intercepted arc AB

$\angle ACB=\frac{1}{2}\text{mAB}$

The intercepted arc AB is 40°

So, the inscribed angle ∠ACB becomes

$\begin{gathered} \angle ACB=\frac{1}{2}(40\degree) \\ \angle ACB=20\degree \end{gathered}$

Therefore, the measure of ∠ACB is 20°